There are absolute ultrafilters on N which are not minimal
A. Kucia, A. Szymański (1977)
Colloquium Mathematicae
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A. Kucia, A. Szymański (1977)
Colloquium Mathematicae
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Tetsuya Ishiu, Justin Tatch Moore (2009)
Fundamenta Mathematicae
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We will characterize-under appropriate axiomatic assumptions-when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA⁺, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of: There are no minimal non-σ-scattered linear orders. In the process of establishing these results,...
Christopher S. Hardin, Alan D. Taylor (2010)
Fundamenta Mathematicae
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We consider a combinatorial problem related to guessing the values of a function at various points based on its values at certain other points, often presented by way of a hat-problem metaphor: there are a number of players who will have colored hats placed on their heads, and they wish to guess the colors of their own hats. A visibility relation specifies who can see which hats. This paper focuses on the existence of minimal predictors: strategies guaranteeing at least one player guesses...
Paul Howard, Mary Yorke (1989)
Fundamenta Mathematicae
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Zaslavski, Alexander J. (2002)
Abstract and Applied Analysis
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Asit Baran-Raha (1972)
Colloquium Mathematicae
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Krzysztof Jan Nowak (2014)
Fundamenta Mathematicae
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Consider a transitive definable action of a Lie group G on a definable manifold M. Given two (locally) definable subsets A and B of M, we prove that the dimension of the intersection σ(A) ∩ B is not greater than the expected one for a generic σ ∈ G.
L Moser (1959)
Acta Arithmetica
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Dusa McDuff (1981)
Annales de l'institut Fourier
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Necessary conditions are found for a Cantor subset of the circle to be minimal for some -diffeomorphism. These conditions are not satisfied by the usual ternary Cantor set.
Predrag Tanović (2007)
Publications de l'Institut Mathématique
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A. Kanamori (1978)
Fundamenta Mathematicae
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Pierre Michel (1975)
Publications mathématiques et informatique de Rennes
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J. Marshall Ash, A. Eduardo Gatto, Stephen Vági (1990)
Colloquium Mathematicae
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G. Monro (1973)
Fundamenta Mathematicae
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